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Asymptotic behavior of Volterra type discrete dynamical systems

Dilfuza EshmamatovaTashkent State Transport University, Tashkent, UzbekistanRasul GanikhodzhaevNational University of Uzbekistan, Tashkent, Uzbekistan
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Аннотация

One of the most important problems in the theory of dynamical systems is the investigation of the asymptotic behavior of trajectories. To study this problem, there are a number of classical as well as modern methods. In the theory of stability, the method of Lyapunov functions is considered to be the most effective. A fairly large number of works are known in which an analogue of the Lyapunov function method for discrete dynamical systems of Volterra type has been developed.

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